Character sums and intersection cohomology complexes associated to the space of square matrices

DOI10.1016/S0019-3577(97)81816-2zbMath0921.11066MaRDI QIDQ1382960

Akihiko Gyoja

Publication date: 13 May 1998

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Gauss sumfinite fieldprehomogeneous vector spacescharacter sumFourier transforms of relatively invariant functionsHermitian matrix spacesintersection cohomology theorysquare matrix spaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Other character sums and Gauss sums (11T24) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (1)

Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type

Cites Work

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• Small resolutions of singularities of Schubert varieties
• The Riemann-Hilbert problem for holonomic systems
• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• Fourier transformat, constants of the functional equations and Weil conjecture
• Theory of prehomogeneous vector spaces without regularity condition
• Exponential sums over finite simple Jordan algebras and finite simple associative algebras
• Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type
• Small resolutions of Schubert varieties in symplectic and orthogonal Grassmannians

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